101224267200000 has 720 divisors, whose sum is σ = 417316689709920. Its totient is φ = 23136952320000.

The previous prime is 101224267199989. The next prime is 101224267200037. The reversal of 101224267200000 is 2762422101.

101224267200000 is a `hidden beast` number, since 10 + 1 + 22 + 426 + 7 + 200 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100297896 + ... + 101302104.

It is an arithmetic number, because the mean of its divisors is an integer number (579606513486).

Almost surely, 2^{101224267200000} is an apocalyptic number.

101224267200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101224267200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208658344854960).

101224267200000 is an abundant number, since it is smaller than the sum of its proper divisors (316092422509920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101224267200000 is an frugal number, since it uses more digits than its factorization.

101224267200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004265 (or 1004226 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 101224267200000 in words is "one hundred one trillion, two hundred twenty-four billion, two hundred sixty-seven million, two hundred thousand".